Timeline for Do certain maps between f.g. $\mathbb{C}$-algebras factor through a local (and f.g.) algebra?
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
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| Mar 1, 2018 at 23:28 | vote | accept | Mendieta | ||
| Mar 1, 2018 at 13:07 | history | edited | YCor |
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| Mar 1, 2018 at 8:21 | answer | added | YCor | timeline score: 5 | |
| Mar 1, 2018 at 3:46 | comment | added | Mendieta | @Mohan: Maybe your remark about local $\mathbb{C}$-algebras can be extended to an example showing that the answer to my question is 'no', but I think that the question is clear. | |
| Mar 1, 2018 at 2:58 | comment | added | Mohan | You are right, but you did not my question about local rings. | |
| Mar 1, 2018 at 2:21 | comment | added | Johannes Hahn | @Mohan: That's does not satisfy the condition $\forall g,h: B\to\mathbb{C}: g\circ f=h\circ f$. Polynomial rings won't work because the condition implies $im(f) \subseteq \mathbb{C} + rad(B)$. | |
| Mar 1, 2018 at 1:53 | comment | added | Mohan | I have two questions. Local $\mathbb{C}$-algebras are rarely finitely generated, so they are not in $\mathcal{A}$, so the second part is not clear. Secondly, have you considered the map $A=\mathbb{C}[t^2,t^3]\subset \mathbb{C}[t]$ for your $f$? | |
| Mar 1, 2018 at 0:01 | review | First posts | |||
| Mar 1, 2018 at 1:13 | |||||
| Feb 28, 2018 at 23:57 | history | asked | Mendieta | CC BY-SA 3.0 |